Question

what is x in the segment addition problem of 2x + 23 + 7 = x + 22?

Answer 1

2x + 23 + 7 = x + 22  |combine items

2x + 30 = x + 22    |subtract 30 from both sides

2x = x - 8    |subtract x from both sides

x = -8

Answer 2

2x + 23 + 7 = x + 22   Combine like terms (23 + 7)
      2x + 30 = x + 22   Subtract x from both sides
        x + 30 = 22         Subtract 30 from both sides
                x = -8